Greatest Common Factor of 4537/996, 3445/267

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4537/996, 3445/267

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 4537/996,3445/267

Given fractions are 4537/996,3445/267

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 4537,3445

Greatest Common Factor of Numerators i.e. GCF of 4537,3445 is 13 .

LCM of Denominators means LCM of 996,267 as per the given fractions.

LCM of 996,267 is 88644 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4537,3445

GCF of Fractions 4537/996,3445/267 is 13/88644

13 4537, 3445
349, 265

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 4537,3445 By Matching Biggest Common Factor Method

Greatest Common Factor of 4537,3445 By Matching Biggest Common Factor Method

Factors of 4537

List of positive integer factors of 4537 that divides 4537 without a remainder.

1,13,349,4537

Factors of 3445

List of positive integer factors of 3445 that divides 3445 without a remainder.

1,5,13,53,65,265,689,3445

Greatest Common Factor

We found the factors 4537,3445 . The biggest common factor number is the GCF number.
So the greatest common factor 4537,3445 is 13.

Lets's calculate LCM of 996,267

3 996, 267
332, 89

∴ So the LCM of the given numbers is 3 x 332 x 89 = 88644

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/88644

Therefore, the GCF of Fractions 4537/996,3445/267 is 13/88644

Least Common Multiple of 996,267 with GCF Formula

Least Common Multiple of 996,267 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 996,267 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(996,267) = 3

common factors(in case of two or more numbers have common factors) = 1

GCF(996,267) x common factors =3 x 1 = 3

LCM(996,267) = ( 996 × 267 ) / 3

LCM(996,267) = 265932 / 3

LCM(996,267) = 88644


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 4537/996, 3445/267

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 4537/996, 3445/267?

Answer: GCF of Numerators as per given numbers 4537/996, 3445/267 is

GCF of Numerators i.e. for 4537,3445 is 13

LCM of denominators i.e. for 996,267 is 88644.

Thus, GCF of Fractions is 13/88644.Finally, GCF of Fractions for 4537/996, 3445/267 is 13/88644.